Effects of chemical reactions, radiation, and activation energy on MHD buoyancy induced nano fluidflow past a vertical surface

Document Type : Article

Authors

1 Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore-632014, India

2 Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Abstract

This paper explores the effects of thermal radiation, buoyancy force, chemical reaction, and activation energy on magnetohydrodynamic (MHD) nanofluid flow past a stretching vertical surface. The resulting nonlinear momentum, energy, solute, and nanoparticle concentration boundary layer equations are simplified by the transformation of similarity. The transformed equations solved numerically by using the shooting technique. For various related parameters, the corresponding results to the dimensionless velocity, temperature, solute, nanoparticle concentration profiles, Skin friction, local Nusselt number, local Sherwood number, and local nanoparticle Sherwood number are illustrated graphically. It is found that the temperature and nanoparticle concentration profiles increase on increasing thermal radiation and temperature difference parameters. With the increase of the regular buoyancy parameters, the local Nusselt number decreases on increasing the fitting rate constant, Biot number, and thermal radiation parameters.

Keywords


References:
1. Ibrahim, S.Y. and Makinde, O.D. "Chemically reacting magnetohydrodynamics (MHD) boundary layer flow of heat and mass transfer past a low-heat-resistant sheet moving vertically downwards", Sci. Res. Essays, 6(22), pp. 4762-4775 (2011).
2. Jabeen, S., Hayat, T., Alsaedi, A., and Alhodaly, M.Sh. "Consequences of activation energy and chemical reaction in radiative 
ow of tangent hyperbolic nanoliquid", Sci. Iran., 26(6), pp. 3928-3937 (2019).
3. Niranjan, H., Sivasankaran, S., and Bhuvaneswari, M. "Chemical reaction, Soret and Dufour effects on MHD mixed convection stagnation point  flow with radiation and slip condition", Sci. Iran. , 24(2), pp. 698-706 (2017).
4. Mallikarjuna, B., Rashad, A.M., Chamkha, A.J., and Raju, S.H. "Chemical reaction effects on MHD convective heat and mass transfer flow past a rotating vertical cone embedded in a variable porosity regime", Afr. Mat., 27(3), pp. 645-665 (2016).
5. Hayat, T., Ullah, I., Alsaedi, A., and Asghar, S. "Flow of magneto Williamson nanoliquid towards stretching sheet with variable thickness and double stratiffication", Radiat. Phys. Chem., 152, pp. 151-157 (2018).
6. Ramzan, M. and Bilal, M. "Three-dimensional  flow of an elastico-viscous nanofluid with chemical reaction and magnetic ffield effects", J. Mol. Liq., 215, pp. 212-220 (2016).
7. Sivasankaran, S., Niranjan, H., and Bhuvaneswari, M. "Chemical reaction, radiation and slip effects on MHD mixed convection stagnation-point  flow in a porous medium with convective boundary condition", Int. J. Numer. Methods Heat Fluid Flow, 27(2), pp. 454-470 (2017).
8. Dhlamini, M., Kameswaran, P.K., Sibanda, P., Motsa, S., and Mondal, H. "Activation energy and binary chemical reaction effects in mixed convective nanofluid flow with convective boundary conditions", J Comput Des Eng, 6(2), pp. 149-158 (2019).
9. Makinde, O.D., Olanrewaju, P.O., and Charles, W.M. "Unsteady convection with chemical reaction and radiative heat transfer past a  at porous plate moving through a binary mixture", Afr. Mat., 22(1), pp. 65- 78 (2011).
10. Maleque, K.A. "Effects of exothermic/endothermic chemical reactions with Arrhenius activation energy on MHD free convection and mass transfer flow in presence of thermal radiation", J. Thermodyn., 2013, pp. 1-11 (2013).
11. Hayat, T., Ullah, I., Waqas, M., and Alsaedi, A. "Attributes of activation energy and exponential based heat source in flow of Carreau fluid with cross-diffusion effects", J Non-Equil Thermody, 44(2), pp. 203-213 (2019).
12. Awad, F.G., Motsa, S., and Khumalo, M. "Heat and mass transfer in unsteady rotating  fluid flow with binary chemical reaction and activation energy", PLoS One, 9(9), e107622 (2014).
13. Makinde, O.D. and Gnaneswara Reddy, M. "MHD peristaltic slip flow of Casson fluid and heat transfer in channel fullfilled with a porous medium", Sci. Iran., 26(4), pp. 2342-2355 (2019).
14. Anuradha, S. and Yegammai, M. "MHD radiative boundary layer flow of nanofluid past a vertical plate with effects of binary chemical reaction and activation energy", Glob J. Pure Appl. Math., 13(9), pp. 6377- 6392 (2017).
15. Zaib, A., Rashidi, M.M., Chamkha, A.J., and Mohammad, N.F. "Impact of nonlinear thermal radiation on stagnation-point 
flow of a Carreau nanofluid past a nonlinear stretching sheet with binary chemical reaction and activation energy", Proc Inst Mech Eng C:J Mech Eng Sci., 232(6), pp. 962-972 (2018).
16. Isa, S.S.P.M., Ariffin, N.M., Nazar, R., Bachok, N., Ali, F.M., and Pop, I. "MHD mixed convection boundary layer flow of a Casson fluid bounded by permeable shrinking sheet with exponential variation", Sci. Iran., 24(2), pp. 637-647 (2017).
17. Ganga, B., Govindaraju, M., and Hakeem, A.A. "Effects of inclined magnetic ffield on entropy generation in nanofluid over a stretching sheet with partial slip and nonlinear thermal radiation", Iran J. Sci. Technol.-Trans. Mech. Eng., 43(4), pp. 707-718 (2019).
18. Ullah, I., Hayat, T., Alsaedi, A., and Asghar, S. "Modeling for radiated Marangoni convection flow of magneto-nanoliquid subject to Activation energy and chemical reaction", Sci. Iran., 27(6), pp. 3390-3398 (2020).
19. Sivasankaran, S. and Narrein, K. "Influence of geometry and magnetic ffield on convective flow of nanofluids in trapezoidal microchannel heat sink", Iran J. Sci. Technol.-Trans. Mech. Eng, 44(22), pp. 373-382 (2020).
20. Alsaadi, F.E., Ullah, I., Hayat, T., and Alsaadi, F.E. "Entropy generation in nonlinear mixed convective flow of nanofluid in porous space influenced by Arrhenius activation energy and thermal radiation", J. Therm. Anal. Calorim., 140, pp. 799-809 (2020).
21. Ganesh, N.V., Hakeem, A.K., Jayaprakash, R., and Ganga, B. "Analytical and numerical studies on hydromagnetic flow of water based metal nanofluids over a stretching sheet with thermal radiation effect", J. Nano fluids, 3(2), pp. 154-161 (2014).
22. Dar, A.A. "Effect of thermal radiation, temperature jump and inclined magnetic ffield on the peristaltic transport of blood 
flow in an asymmetric channel with variable viscosity and heat absorption/generation",Iran J. Sci. Technol.-Trans. Mech. Eng., 45(2), pp. 487-501 (2021).
23. Kho, Y.B., Hussanan, A., Sarif, N.M., Ismail, Z., and Salleh, M.Z. "Thermal radiation effects on MHD with flow heat and mass transfer in Casson nanofluid over a stretching sheet", MATEC Web Conf. EDP Sciences, 150, pp. 1-6 (2018).
24. Ullah, I., Hayat, T., Alsaedi, A., and Asghar, S. "Dissipative  flow of hybrid nanoliquid (H2O-aluminum alloy nanoparticles) with thermal radiation", Phys. Scr., 94(12), pp. 1-15 (2019).
25. Daniel, Y.S., Aziz, Z.A., Ismail, Z., and Salah, F. "Thermal radiation on unsteady electrical MHD  flow of nanofluid over stretching sheet with chemical reaction", J. King Saud Univ. Sci., 31(4), pp. 804-812 (2019).
26. Hamid, M., Usman, M., Khan, Z.H., Haq, R.U., and Wang, W. "Numerical study of unsteady MHD flow of Williamson nano fluid in a permeable channel with heat source/sink and thermal radiation", Eur. Phys. J. Plus, 133(12), pp. 1-12 (2018).
27. Chandrakala, P. and Raj, S.A. "Radiation effects on MHD flow past an impulsively started inffinite isothermal vertical plate", Indian J Chem Tech., 5, pp. 63-67 (2008).
28. Ahmed, N. and Sarmah, H.K. "Thermal radiation effect on a transient MHD flow with mass transfer past an impulsively ffixed inffinite vertical plate", Int. J. Appl. Math. Mech., 5, pp. 87-98 (2009).
29. Mukhopadhyay, S. "Effect of thermal radiation on unsteady mixed convection flow and heat transfer over a porous stretching surface in porous medium", Int. J. Heat Mass Transf., 52(13-14), pp. 3261-3265 (2009).
30. Hayat, T., Ullah, I., Waqas, M., and Alsaedi, A. "Simulation of nanofluid thermal radiation in Marangoni convection  flow of non-Newtonian fluid", Int. J. Numer. Methods Heat Fluid Flow, 29(8), pp. 2840-2853 (2019).
31. Sheikholeslami, M., Li, Z., and Shamlooei, M.J.P.L.A. "Nanofluid MHD natural convection through a porous complex shaped cavity considering thermal radiation", Phys. Lett. A., 382(24), pp. 1615-1632 (2018).
32. Ishak, A. "MHD boundary layer flow due to an exponentially stretching sheet with radiation effect", Sains Malays., 40(4), pp. 391-395 (2011).
33. Jhankal, A.K. and Kumar, M. "MHD boundary layer flow past a stretching plate with heat transfer", Int. J. Eng. Sci., 2(3), pp. 9-13 (2013).
34. Seini, Y.I. and Makinde, O.D. "MHD boundary layer flow due to exponential stretching surface with radiation and chemical reaction", Math. Probl. Eng., 2013, pp. 1-7 (2013).
35. Chutia, M. and Deka, P.N. "Numerical solution of unsteady MHD couette flow in the presence of uniform suction and injection with hall effects", Iran J. Sci. Technol.- Trans. Mech. Eng., 45(2), pp. 503-514 (2021).
36. Devi, R.R., Poornima, T., Reddy, N.B., and Venkataramana, S. "Radiation and mass transfer effects on MHD boundary layer flow due to an exponentially stretching sheet with heat source", Int J Eng Innov Tech., 3(8), pp. 33-39 (2014).
37. Makinde, O.D. and Olanrewaju, P.O. "Buoyancy effects on thermal boundary layer over a vertical plate with a convective surface boundary condition", J. Fluids Eng., 132(4), pp. 1-4 (2010).
38. Ramzan, M., Ullah, N., Chung, J.D., Lu, D., and Farooq, U. "Buoyancy effects on the radiative magneto Micropolar nanofluid flow with double stratiffication, activation energy and binary chemical reaction", Sci. Rep., 7(1), pp. 1-15 (2017).
39. Mustafa, M., Khan, J.A., Hayat, T., and Alsaedi, A.
"Buoyancy effects on the MHD nano
uid 
flow past a vertical surface with chemical reaction and activation energy", Int J Heat Mass Transf., 108, pp. 1340-1346 (2017).
Volume 29, Issue 1
Transactions on Mechanical Engineering (B)
January and February 2022
Pages 90-100
  • Receive Date: 28 October 2020
  • Revise Date: 04 February 2021
  • Accept Date: 19 April 2021